JEE Main 2022 Question Paper (24-Jun-2022) (Shift 2)

Question 1

Identify the pair of physical quantities that have the same dimensions:

Accepted Answer

Velocity gradient and decay constant

Answer

Angular frequency and angular momentum

Answer

Wave number and Avogadro number

Answer

Wein's constant and Stephan's constant

Question 2

The distance between the Sun and Earth is $R$. The duration of the year if the distance between the Sun and Earth becomes $3R$ will be:

Accepted Answer

$3\sqrt{3} \quad \mathrm{yr}$

Answer

$ \sqrt{3} \quad \mathrm{yr} $

Answer

$3 \quad \mathrm{yr}$

Answer

$9 \quad \mathrm{yr}$

Question 3

A stone of mass $m$, tied to a string, is being whirled in a vertical circle with a uniform speed. The tension in the string is

Accepted Answer

Minimum at the highest position of the circular path.

Answer

the same throughout the motion.

Answer

Minimum when the rope is in the horizontal position.

Answer

Minimum at the lowest position of the circular path.

Question 4

Two identical charged particles each having a mass $10 \quad \mathrm{g}$ and charge $2.0 \times 10^{-7} \, \mathrm{C}$ are placed on a horizontal table with a separation of $L$ between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is $0.25$, find the value of $L$. [Use $\mathrm{g} = 10 \quad \mathrm{m} \, \mathrm{s}^{-2}$]

Accepted Answer

$12 \quad \mathrm{cm}$

Answer

$10 \quad \mathrm{cm}$

Answer

$8 \quad \mathrm{cm}$

Answer

$5 \quad \mathrm{cm}$

Question 5

A Carnot engine takes $5000 \quad \mathrm{kcal}$ of heat from a reservoir at $727^\circ \mathrm{C}$ and gives heat to a sink at $127^\circ \mathrm{C}$. The work done by the engine is

Accepted Answer

$12.6 	imes 10^{6} \quad \mathrm{J}$

Answer

$3 	imes 10^{6} \mathrm{J}$

Answer

Zero

Answer

$8.4 	imes 10^{6} \quad \mathrm{J}$